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Part II: Means Now we are going to replace the contents of the box with numbers...

Part II: Means

Now we are going to replace the contents of the box with numbers that are not just zero or one. Leave Intervals ± set to 2. Select and delete the numbers in the box, and type instead the numbers 2, 10, 8, 0, 6, 2, 9, 3 into the box, separated by spaces and or returns. Then click anywhere in the figure, outside of the population box. The average of the numbers in the box and the SD of the box will be updated on the left side of the figure, and the computer will draw from the new set of numbers when next we take a sample.

Problem 7

a) The average of the numbers in the box is ____? and their SD is _____?

Set Sample size to 50, and set Samples to take to 1.

b) The expected value of the sample mean for a random sample of 50 tickets drawn with replacement from this box is _____?

c) The SE of the sample mean for a sample of size 50 drawn with replacement from this box is ______?

Math   Statistics-And-Probability   
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Answer #1

a) Population Mean and SD:

b) The expected value of the sample mean for a random sample of 50 tickets drawn with replacement from this box is Population mean I.e. 5

c) The SE of the sample mean for a sample of size 50 drawn with replacement from this box is

= Population SD / Sqrt(n) since central limit theorem

= 3.5 / sqrt(50) = 0.494975 = 0.50

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